A basic quadratic equation can be expressed an the form Ax² + Bx + C.  The factors of the equation are the values of x that would result in the equation evaluating to 0.  For this problem, we will always assume that the value of A will be 1.  

 

You may **NOT** use the general solution equation for quadratic equations in your solution (x = [−b ± √(b2 − 4ac)]/2a) to find your solution.

 

Write a program that reads two integers from the keyboard to represent the values of B and C respectively.  Then output the factored version of the equation to the screen.

 

Note: All solutions in this problem will be integer solutions.

 

 

Sample Input 1

7
12

 

### Sample Output 1

(x+3)
(x+4)

 

### Sample Input 2

-6
-27

 

### Sample Output 2

(x-9)
(x+3)

import java.util.Scanner;

class Main{

  public static void main(String[] args) {
    int b = 0, c = 0;
    Scanner input = new Scanner(System.in);
    b = input.nextInt();
    c = input.nextInt();

    int copyOfC  = c;
    if (c < 0)
      copyOfC = -1*c;

    if(b == 0 && c == 0){
      System.out.println("(x+0" + ")");
      System.out.println("(x+0" + ")");
    }
    
    for(int x = 1; x <= copyOfC; x++){
      if(c%x == 0){
        if(c < 0){
          if(c/x + x == b && c/x < x)
          {
            System.out.println("(x" + c/x + ")");
            System.out.println("(x+" + x + ")");
          }
          else if (-1*c/x - x == b && c/x > x)
          {
            System.out.println("(x+" + c/x + ")");
            System.out.println("(x" + x + ")");
          }
        }
        else if (c > 0){
          if(b > 0){
            if(c/x + x == b){
              System.out.println("(x+" + c/x + ")");
              System.out.println("(x+" + x + ")");
              break;
            }
          }
          else if(b < 0){
            if(-1*c/x - x == b)
            {
              System.out.println("(x-" + c/x + ")");
              System.out.println("(x-" + x + ")");
              break;
            }
            
          }
        }
      }
      
    }
    
  }
}